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Diffusion in Jammed Particle Packs.

Dan S Bolintineanu1, Gary S Grest1, Jeremy B Lechman1

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This summary is machine-generated.

This study reveals two normal diffusion regimes in sphere packings near the jamming transition. Particle contacts, influenced by proximity to jamming, control diffusion, with escape times dictating long-time behavior.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Diffusive transport is crucial in various physical systems.
  • Understanding diffusion in disordered media, like sphere packings, is complex.
  • The jamming transition significantly alters system properties.

Purpose of the Study:

  • To investigate diffusive transport in monodisperse sphere packings near the jamming transition.
  • To characterize different diffusion regimes and their dependence on packing fraction and pressure.
  • To elucidate the role of particle contacts and escape times in controlling diffusion.

Main Methods:

  • Random walk simulations were employed.
  • Simulations covered a range of packing fractions (ϕ) near the jamming transition (ϕ(c)).
  • Diffusion properties were computed across multiple time and pressure scales.

Main Results:

  • Two distinct normal diffusion regimes (Fickian diffusion) were identified: intra-sphere and long-time bulk diffusion.
  • An intermediate anomalous diffusion regime was observed.
  • The long-time diffusion coefficient (D(∞)) and the time to recover normal diffusion (t*) were found to depend on particle contacts and proximity to ϕ(c).
  • Scaling relations were established: t* ∝ (ϕ-ϕ(c))⁻⁰⁵ and D(∞) ∝ (ϕ-ϕ(c))⁰⁵.
  • The distribution of mean first passage times between particles was shown to control t* and D(∞) near jamming.

Conclusions:

  • Particle contacts and proximity to the jamming transition are key determinants of diffusive transport.
  • The dynamics of random walkers escaping between particles govern the macroscopic diffusion behavior.
  • The findings provide insights into transport phenomena in granular materials and disordered systems.